Sentence examples for many stochastic systems from inspiring English sources

However, the existing results employ an assumption that may be too restrictive for many stochastic systems.

Although for many stochastic systems of practical interest, described by stochastic partial differential equations (SPDEs), solutions possess this low-dimensional character, they also have a strongly time-dependent form and to this end a fixed-in-time basis may not describe the solution in an efficient way.

However, many stochastic systems do not satisfy these conditions.

Many stochastic systems not only depend on present and past states but also involve derivatives with delays.

In fact, many stochastic systems not only depend on the present and past states but also involve the derivatives with delays as well as the function itself.

Variances of the system states or outputs often play vital roles in the problem for performance requirements of many stochastic control systems.

It is known that there are many types of stochastic systems all of whose solutions tend to each other although they do not have the trivial solution.

On the other hand, it is known that there are many types of stochastic systems all of whose solutions tend to each other although they do not have the trivial solution.

Many results related to stochastic systems have been reported in the literature.

See, for example, Ofer Malcai, Ofer Biham, and Sorin Solomon, "Power-Law Distributions and Lévy-Stable Intermittent Fluctuations in Stochastic Systems of Many Autocatalytic Elements," Physical Review E, August 1999.

However, there are not many papers considering non-autonomous stochastic systems [18 23].